Expand 7/10 (5d + 6)
To expand 7/10 (5d + 6), we will apply the distributive property, which states that when a scalar multiplies a sum or difference of terms, it can be distributed to each term separately.
Using this property, we multiply 7/10 by each term inside the parentheses:
7/10 * 5d + 7/10 * 6
This simplifies to:
35/10 d + 42/10
Now, we can simplify the fractions by finding their lowest common denominator, which is 10:
35/10 d + 42/10 = (35d + 42) / 10
Thus, the expanded form of 7/10 (5d + 6) is (35d + 42) / 10.